Short baseline neutrino oscillations: When entanglement suppresses coherence

Boyanovsky, D.

doi:10.1103/physrevd.84.065001

Cited by 21 publications

(39 citation statements)

References 96 publications

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“…[40,71,77] that describes the nonperturbative time evolution of quantum states is extended here and then generalized to inflationary cosmology (for other applications of this field theoretical method see refs. [78,79]) to obtain the entangled quantum state from single particle decay to leading order in a ∆ = M 2 /3H 2 expansion. We show explicitly that unitarity is manifest in the time evolution of the quantum state.…”

Section: Jhep04(2014)055mentioning

confidence: 99%

“…[40,71,[77][78][79] is a quantum field theoretical generalization of the Wigner-Weisskopf method used in quantum optics [81][82][83][84].…”

Section: Quantum Field Theoretical Wigner-weisskopf Treatment Of the mentioning

confidence: 99%

“…[40,71,[77][78][79], as the implementation of the quantum field theoretical Wigner-Weisskopf formulation is crucial in constructing states whose time evolution is manifestly unitary.…”

Section: Wigner-weisskopf Theory In De Sitter Space Timementioning

confidence: 99%

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Superhorizon entanglement entropy from particle decay in inflation

Lello

Boyanovsky

Holman

2014

J. High Energ. Phys.

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In inflationary cosmology all particle states decay as a consequence of the lack of kinematic thresholds. The decay of an initial single particle state yields an entangled quantum state of the product particles. We generalize and extend a manifestly unitary field theoretical method to obtain the time evolution of the quantum state. We consider the decay of a light scalar field with mass M ≪ H with a cubic coupling in de Sitter space-time. Radiative corrections feature an infrared enhancement manifest as poles in ∆ = M 2 /3H 2 and we obtain the quantum state in an expansion in ∆. To leading order the pure state density matrix describing the decay of a particle with sub-horizon wavevector is dominated by the emission of superhorizon quanta, describing entanglement between superhorizon and subhorizon fluctuations and correlations across the horizon. Tracing over the superhorizon degrees of freedom yields a mixed state density matrix from which we obtain the entanglement entropy. Asymptotically this entropy grows with the physical volume as a consequence of more modes of the decay products crossing the Hubble radius. A generalization to localized wave packets is provided. The cascade decay of single particle states into many particle states is discussed. We conjecture on possible impact of these results on non-gaussianity and on the "low multipole anomalies" of the CMB.

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Section: Jhep04(2014)055mentioning

confidence: 99%

“…[40,71,[77][78][79] is a quantum field theoretical generalization of the Wigner-Weisskopf method used in quantum optics [81][82][83][84].…”

Section: Quantum Field Theoretical Wigner-weisskopf Treatment Of the mentioning

confidence: 99%

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Superhorizon entanglement entropy from particle decay in inflation

Lello

Boyanovsky

Holman

2014

J. High Energ. Phys.

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“…As previously found in refs. [61,62] the decay width of the meson leads to decoherence of oscillations quantified by the dimensionless ratio…”

mentioning

confidence: 99%

“…For example, a Pion (DAR) with E ≃ 30 MeV and Γ π ∼ 2.5 × 10 −8 eV leads to R ≃ δm 2 /eV 2 and there could be considerable suppression of the appearance and disappearance probability in experiments with baseline L ≃ 30 − 100 mts [61,62]. Another source of decoherence is the distance at which the charged lepton is stopped L c : if the charged lepton is correlated with the emitted mass eigenstate over a long time scale, the quantum state is projected onto an energy eigenstate and oscillations are suppressed [61,63]. Both effects, meson lifetime and charged lepton stopping scale, are sources of decoherence in sterile-active oscillations that are more prominent in short-baseline experiments and mass scales δm 2 ≃ eV 2 , as discussed in refs.…”

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confidence: 99%

Searching for sterile neutrinos fromπandKdecays

Lello

Boyanovsky

2013

Phys. Rev. D

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The production of heavy sterile neutrinos from π − , K − decay at rest yields charged leptons with negative helicity (positive for π + , K + ). We obtain the branching ratio for this process and argue that a Stern-Gerlach filter with a magnetic field gradient leads to spatially separated domains of both helicity components with abundances determined by the branching ratio. Complemented with a search of the monochromatic peak, this setup can yield both the mass and mixing angles for sterile neutrinos with masses in the range 3 MeV m s 414 MeV in next generation high intensity experiments. We also study oscillations of light Dirac and Majorana sterile neutrinos with m s ≃ eV produced in meson decays including decoherence aspects arising from lifetime effects of the decaying mesons and the stopping distance of the charged lepton in short baseline experiments. We obtain the transition probability from production to detection via charged current interactions including these decoherence effects for 3 + 1 and 3 + 2 scenarios, also studying |∆L| = 2 transitions from ν ↔ ν oscillations for Majorana neutrinos and the impact of these effects on the determination of CP-violating amplitudes. We argue that decoherence effects are important in current short baseline accelerator experiments, leading to an underestimate of masses, mixing and CP-violating angles. At MiniBooNE/SciBooNE we estimate that these effects lead to an ∼ 15% underestimate for sterile neutrino masses m s 3 eV. We argue that reactor and current short baseline accelerator experiments are fundamentally different and suggest that in future high intensity experiments with neutrinos produced from π, K decay at rest, stopping the charged leptons on distances much smaller than the decay length of the parent meson suppresses considerably these decoherence effects.

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Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing

Kainulainen,

Parkkinen

2024

J. High Energ. Phys.

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We derive quantum kinetic equations for mixing neutrinos including consistent forward scattering terms and collision integrals for coherent neutrino states. In practice, we reduce the general Kadanoff-Baym equations in a few clearly justified steps to a generalized density matrix equation that describes both the flavour- and particle-antiparticle coherences and is valid for arbitrary neutrino masses and kinematics. We then reduce this equation to a simpler particle-antiparticle diagonal limit and eventually to the ultra-relativistic limit. Our derivation includes simple Feynman rules for computing collision integrals with the coherence information. We also expose a novel spectral shell structure underlying the mixing phenomenon and quantify how the prior information on the system impacts on the QKE’s, leading to a direct effect on its evolution. Our results can be used for example to accurately model neutrino distributions in hot and dense environments and to study the production and decay of mixing heavy neutrinos in colliders.

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Short baseline neutrino oscillations: When entanglement suppresses coherence

Cited by 21 publications

References 96 publications

Superhorizon entanglement entropy from particle decay in inflation

Superhorizon entanglement entropy from particle decay in inflation

Searching for sterile neutrinos fromπandKdecays

Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing

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